Exponential synchronization of inertial neural network with mixed delays via intermittent pinning control

被引：18

作者：

Hui, Meng ^{[1
]}

Yan, Jiefei ^{[1
]}

Zhang, Jiao ^{[2
]}

Iu, Herbert Ho-Ching ^{[3
]}

Yao, Rui ^{[1
]}

Bai, Lin ^{[1
]}

机构：

[1] Changan Univ, Sch Elect & Control, Xian 710064, Shaanxi, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Elect Engn, Xian, Peoples R China

[3] Univ Western Australia, Sch Elect Elect & Comp Engn, Perth, WA, Australia

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2022年 / 32卷 / 01期

基金：

中国国家自然科学基金;

关键词：

exponential synchronization; inertial neural networks; periodic intermittent control; pinning control; TIME-VARYING DELAYS; GLOBAL STABILITY; FINITE-TIME; DISCRETE; DYNAMICS;

D O I：

10.1002/rnc.5817

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article considers the problem of exponential synchronization of inertial neural networks (INNs) with mixed delays via a novel hybrid control scheme consisting of pinning and periodic intermittent control. Both the discrete delay and distributed delay are taken into account in the network model. Through the proper variable substitution, the original system is transferred into a simply formed differential equation. Meantime, some new sufficient conditions are derived by the Lyapunov stability theory for the exponential synchronization of INNs. Eventually, numerical simulations are given to present the effectiveness of the theoretical method.

引用

页码：358 / 372

页数：15

共 53 条

[1] Finite-time and fixed-time synchronization of a class of inertial neural networks with multi-proportional delays and its application to secure communication [J].

Alimi, Adel M. ;

Aouiti, Chaouki ;

Assali, El Abed .

NEUROCOMPUTING, 2019, 332 :29-43

[2] MODELS OF MEMBRANE RESONANCE IN PIGEON SEMICIRCULAR CANAL TYPE-II HAIR-CELLS [J].

ANGELAKI, DE ;

CORREIA, MJ .

BIOLOGICAL CYBERNETICS, 1991, 65 (01) :1-10

[3] STABILITY AND DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS WITH ADDED INERTIA [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICA D, 1986, 23 (1-3) :464-469

[4] Hybrid Adaptive Pinning Control for Function Projective Synchronization of Delayed Neural Networks with Mixed Uncertain Couplings [J].

Botmart, T. ;

Yotha, N. ;

Niamsup, P. ;

Weera, W. .

COMPLEXITY, 2017,

[5] Exponential synchronization of complex dynamical network with mixed time-varying and hybrid coupling delays via intermittent control [J].

Botmart, Thongchai ;

Niamsup, Piyapong .

ADVANCES IN DIFFERENCE EQUATIONS, 2014,

[6] Aperiodic intermittent pinning control for exponential synchronization of memristive neural networks with time-varying delays [J].

Cai, Shuiming ;

Li, Xiaojing ;

Zhou, Peipei ;

Shen, Jianwei .

NEUROCOMPUTING, 2019, 332 :249-258

[7] Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control [J].

Cai, Shuiming ;

Zhou, Peipei ;

Liu, Zengrong .

CHAOS, 2014, 24 (03)

[8] Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays [J].

Cao, Jinde ;

Wan, Ying .

NEURAL NETWORKS, 2014, 53 :165-172

[9] Exponential synchronization for inertial coupled neural networks under directed topology via pinning impulsive control [J].

Chen, Shanshan ;

Jiang, Haijun ;

Lu, Binglong ;

Yu, Zhiyong .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (03) :1671-1689

[10] CELLULAR NEURAL NETWORKS - THEORY [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272

← 1 2 3 4 5 6 →